On automorphism groups of compact Riemann surfaces of genus 5
type: Item
instance of: scholarly article
title: On automorphism groups of compact Riemann surfaces of genus 5
zbMATH Open document ID: 0625.30045
author: Akikazu Kuribayashi
author: Hideyuki Kimura
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: Let X be a compact Riemann surface of genus 5. A group AG of conformal automorphisms of X is represented as a subgroup of GL(5,C) via transformations of the space of holomorphic differentials on X. In this paper, the authors determine all the subgroups of GL(5,C) up to conjugate, which come from some X and AG. This article is an announcement which contains no proof. The proof will appear elsewhere.
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 14H99
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32G15
zbMATH DE Number: 4015117
zbMATH Keywords: conformal automorphisms
reviewed by: Takao Kato
MaRDI profile type: Publication
full work available at URL: pjaa.63.126
OpenAlex ID: W2025742754
cites work: CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
cites work: On Branch Loci in Teichmuller Space
cites work: On an algebraization of the Riemann-Hurwitz relation
cites work: On automorphism groups of a curve as linear groups
cites work: On automorphism groups of compact Riemann surfaces of genus 4
DOI: 10.3792/PJAA.63.126
description: scientific article; zbMATH DE number 4015117